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Finding the Fourth Proportional to 162,354.72, 243,884.16 and 137,445.60

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Solution

The fourth proportional to 162,354.72, 243,884.16 and 137,445.60 is: 206,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,354.72 : 243,884.16 = 137,445.60 : x
  2. Step 2: Convert to fraction form
    162,354.72/243,884.16 = 137,445.60/x
  3. Step 3: Cross multiply
    162,354.72x = 243,884.16 × 137,445.60
  4. Step 4: Simplify right side
    162,354.72x = 33,520,804,701.70
  5. Step 5: Solve for x
    x = 33,520,804,701.70/162,354.72
  6. Step 6: Final answer
    x = 206,466.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.